The Sum of Two Numbers is 88 and Their Difference is 8




The sum of two numbers is 88 and their difference is 8. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 88. In other words, x plus y equals 88 and can be written as equation A:

x + y = 88

The difference between x and y is 8. In other words, x minus y equals 8 and can be written as equation B:

x - y = 8

Now solve equation B for x to get the revised equation B:

x - y = 8
x = 8 + y


Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 88
8 + y + y = 88
8 + 2y = 88
2y = 80
y = 40


Now we know y is 40. Which means that we can substitute y for 40 in equation A and solve for x:

x + y = 88
x + 40 = 88
X = 48


Summary: The sum of two numbers is 88 and their difference is 8. What are the two numbers? Answer: 48 and 40 as proven here:

Sum: 48 + 40 = 88
Difference: 48 - 40 = 8



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The Sum of Two Numbers is 88 and Their Difference is 9
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